What is the Least Common Multiple of 686 and 698?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 686 and 698 is 239414.
LCM(686,698) = 239414
Least Common Multiple of 686 and 698 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 686 and 698, than apply into the LCM equation.
GCF(686,698) = 2
LCM(686,698) = ( 686 × 698) / 2
LCM(686,698) = 478828 / 2
LCM(686,698) = 239414
Least Common Multiple (LCM) of 686 and 698 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 686 and 698. First we will calculate the prime factors of 686 and 698.
Prime Factorization of 686
Prime factors of 686 are 2, 7. Prime factorization of 686 in exponential form is:
686 = 21 × 73
Prime Factorization of 698
Prime factors of 698 are 2, 349. Prime factorization of 698 in exponential form is:
698 = 21 × 3491
Now multiplying the highest exponent prime factors to calculate the LCM of 686 and 698.
LCM(686,698) = 21 × 73 × 3491
LCM(686,698) = 239414
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